Finitely presented solvable groups that do not satisfy the maximal condition for normal subgroups (Q1060288)
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scientific article; zbMATH DE number 3906733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitely presented solvable groups that do not satisfy the maximal condition for normal subgroups |
scientific article; zbMATH DE number 3906733 |
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Finitely presented solvable groups that do not satisfy the maximal condition for normal subgroups (English)
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1984
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Extending an example of \textit{H. Abels} [Lond. Math. Soc. Lect. Note Ser. 36, 205-211 (1979; Zbl 0422.20026)] the author constructs finitely presented soluble groups which do not satisfy the maximal condition for normal subgroups, but which have all central sections finitely generated. This answers a question posed originally by \textit{Ph. Hall} [Proc. Lond. Math. Soc., III. Ser. 4, 419-436 (1954; Zbl 0056.256)].
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finitely presented soluble groups
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maximal condition for normal subgroups
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central sections
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